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Finding the Fourth Proportional to 9,364.80, 14,047.80 and 2,790.44

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Solution

The fourth proportional to 9,364.80, 14,047.80 and 2,790.44 is: 4,185.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.80 : 14,047.80 = 2,790.44 : x
  2. Step 2: Convert to fraction form
    9,364.80/14,047.80 = 2,790.44/x
  3. Step 3: Cross multiply
    9,364.80x = 14,047.80 × 2,790.44
  4. Step 4: Simplify right side
    9,364.80x = 39,199,543.03
  5. Step 5: Solve for x
    x = 39,199,543.03/9,364.80
  6. Step 6: Final answer
    x = 4,185.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.